Geometry of 2D Topological Field Theories
by Boris Dubrovin
Publisher: arXiv 1994
Number of pages: 204
Description:
These lecture notes are devoted to the theory of equations of associativity describing geometry of moduli spaces of 2D topological field theories. Topics: WDVV equations and Frobenius manifolds; Polynomial solutions of WDVV; Symmetries of WDVV; etc.
Download or read it online for free here:
Download link
(1.1MB, PDF)
Similar books
Fieldsby Warren Siegel
It covers classical and quantum field theory, including many recent topics at an introductory yet nontrivial level: supersymmetry, general relativity, supergravity, strings, 1/N expansion in QCD, spacecone, many useful gauges, etc.
(7956 views)
Applied Conformal Field Theoryby Paul Ginsparg - arXiv
An elementary introduction to conformal field theory, with some applications to statistical mechanical systems, and fewer to string theory. Contents: Conformal theories; Central charge and the Virasoro algebra; Kac determinant and unitarity; etc.
(5377 views)
Introduction to Symplectic Field Theoryby Y. Eliashberg, A. Givental, H. Hofer - arXiv
We sketch in this article a new theory, which we call Symplectic Field Theory or SFT, which provides an approach to Gromov-Witten invariants of symplectic manifolds and their Lagrangian submanifolds in the spirit of topological field theory.
(8363 views)
Yang Mills model of interacting particles in the classical field theoryby Jean Claude Dutailly - arXiv
The purpose is to study interacting particles in the General Relativity context, by the principle of least action using purely classical concepts. The particles are described by a state tensor using a Clifford algebra for the kinematic part.
(6500 views)